Identify the slope.
Understand the Problem
The question is asking to identify the slope of the line represented on the graph, which can be calculated using the coordinates provided.
Answer
The slope of the line is $5$.
Answer for screen readers
The slope of the line is $5$.
Steps to Solve
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Identify the coordinates The coordinates of the points provided on the graph are $(0, -15)$ and $(3, 0)$.
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Apply the slope formula The slope ($m$) can be calculated using the formula:
$$ m = \frac{y_2 - y_1}{x_2 - x_1} $$ Here, we can assign:
- $(x_1, y_1) = (0, -15)$
- $(x_2, y_2) = (3, 0)$
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Substitute the coordinates into the slope formula Substituting the coordinates into the slope formula:
$$ m = \frac{0 - (-15)}{3 - 0} = \frac{0 + 15}{3} = \frac{15}{3} $$ -
Simplify the slope Now, simplify the fraction:
$$ m = \frac{15}{3} = 5 $$
The slope of the line is $5$.
More Information
The slope of a line indicates its steepness. A positive slope, like $5$, shows that as $x$ increases, $y$ also increases.
Tips
- A common mistake is to confuse the order of coordinates when applying the slope formula. Always ensure you subtract $y_1$ from $y_2$ and $x_1$ from $x_2$ appropriately.
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